document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869493>Question 869493</A>: <I><SPAN STYLE=\"word-break: break-all;\">  	<BR>\n" );
document.write( "The equation of a curve is given by<BR>\n" );
document.write( "y = 6x^5+12<BR>\n" );
document.write( "Obtain the tangent line to the curve at the point where x = 3. Please enter your answer as an equation in the form: y = m x + c<BR>\n" );
document.write( "for some constants m, c. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524245 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find derivative and then compute this a the slope using x=3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2F%28dx%29=30x%5E4 ALIGN=MIDDLE  ALT=\"dy%2F%28dx%29=30x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2F%28dx%29%283%29=30%2A3%5E4 ALIGN=MIDDLE  ALT=\"dy%2F%28dx%29%283%29=30%2A3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "value of derivative there, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2430 ALIGN=MIDDLE  ALT=\"2430\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Find the y value at x=3 so you know what point this tangent line intersects.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6%2A3%5E5%2B12 ALIGN=MIDDLE  ALT=\"y=6%2A3%5E5%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1470 ALIGN=MIDDLE  ALT=\"y=1470\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the y-intercept for the tangent line at point (3, 1470).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=2430x%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=2430x%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve for b using the point.\r<BR>\n" );
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document.write( "I used \"b\" instead of \"c\".<BR>\n" );
document.write( " </SPAN>\n" );
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